Answered

1. Eight workers earn the following income:
[tex]\[ \$30, \$36, \$34, \$40, \$42, \$46, \$54, \$62 \][/tex]

Find the arithmetic mean.



Answer :

To find the arithmetic mean of the given incomes of eight workers, follow these steps:

1. List the Incomes: Write down all the incomes provided.
[tex]\[ 30, 36, 34, 40, 42, 46, 54, 62 \][/tex]

2. Count the Number of Incomes: Determine how many workers' incomes we have.
[tex]\[ \text{Number of incomes} = 8 \][/tex]

3. Sum the Incomes: Add all the incomes together.
[tex]\[ 30 + 36 + 34 + 40 + 42 + 46 + 54 + 62 = 344 \][/tex]

4. Divide the Total Sum by the Number of Incomes: To find the arithmetic mean, divide the total sum of the incomes by the number of incomes.
[tex]\[ \text{Arithmetic Mean} = \frac{\text{Total Sum of Incomes}}{\text{Number of Incomes}} = \frac{344}{8} = 43.0 \][/tex]

Therefore, the arithmetic mean of the incomes of the eight workers is:
[tex]\[ 43.0 \][/tex]